Thermometer of Fate

You are trapped in a laboratory.

To escape, you must heat a thermometer in one go to exactly 60°C without exceeding it or the bomb attached to the thermometer will go off.

In the room, you find a sink, an electric kettle and a freezer.

As the thermometer can only be used once, you are unable to find the original temperature of water.

Use the inputs below to mix boiling water (at 100°C) and ice (at -5°C) to achieve this precise temperature.

Specific Heat Capacities:

\( c_{\text{water}} = 4.18 \, \text{J g}^{-1} \text{°C}^{-1} \)

\( c_{\text{ice}} = 2.10 \, \text{J g}^{-1} \text{°C}^{-1} \)

Specific Latent Heats:

\( l_f = 334 \, \text{J g}^{-1} \) (Fusion of Ice)

\( l_v = 2260 \, \text{J g}^{-1} \) (Vaporization of Water)